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Finding the Fourth Proportional to 241.36, 362.04 and 169

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Solution

The fourth proportional to 241.36, 362.04 and 169 is: 253.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.36 : 362.04 = 169 : x
  2. Step 2: Convert to fraction form
    241.36/362.04 = 169/x
  3. Step 3: Cross multiply
    241.36x = 362.04 × 169
  4. Step 4: Simplify right side
    241.36x = 61,184.76
  5. Step 5: Solve for x
    x = 61,184.76/241.36
  6. Step 6: Final answer
    x = 253.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.